Title
Incorporating neighborhood reduction for the solution of the planar p-median problem
Abstract
Two efficient neighborhood reduction schemes are proposed for the solution of the p-median problem on the plane. Their integration into a local search significantly reduces the run time with an insignificant deterioration in the quality of the solution. For completeness this fast local search is also embedded into one of the most powerful metaheuristic algorithms, which is a combination of a genetic algorithm and a new improvement algorithm, recently developed for this continuous location problem. Excellent results for instances with up to 1060 demand points with various values of p are reported. Eight new best known solutions for ten instances of a large problem with 3038 demand points and up to 500 facilities are also found.
Year
DOI
Venue
2017
10.1007/s10479-015-1961-y
ANNALS OF OPERATIONS RESEARCH
Keywords
Field
DocType
Planar p-median,Local search,Neighborhood reduction,Metaheuristics
Mathematical optimization,Planar,Local search (optimization),Completeness (statistics),Mathematics,Genetic algorithm,Metaheuristic
Journal
Volume
Issue
ISSN
258
2
0254-5330
Citations 
PageRank 
References 
2
0.37
16
Authors
2
Name
Order
Citations
PageRank
Zvi Drezner11195140.69
Said Salhi234226.38